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Finding the Third Proportional to 176,065.50 and 343,311

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Solution

The third proportional to 176,065.50 and 343,311 is: 669,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,065.50 : 343,311 = 343,311 : x
  2. Step 2: Convert to fraction form
    176,065.50/343,311 = 343,311/x
  3. Step 3: Cross multiply
    176,065.50x = 343,311 × 343,311
  4. Step 4: Simplify right side
    176,065.50x = 117,862,442,721
  5. Step 5: Solve for x
    x = 117,862,442,721/176,065.50
  6. Step 6: Final answer
    x = 669,423.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.